Optimal Constrained Self-learning Battery Sequential Management in Microgrid Via Adaptive Dynamic Programming

Qinglai Wei; Derong Liu; Yu Liu; Ruizhuo Song

doi:10.1109/JAS.2016.7510262

Volume 4 Issue 2

Apr. 2017

IEEE/CAA Journal of Automatica Sinica

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2017 > 4(2): 168-176

Qinglai Wei, Derong Liu, Yu Liu and Ruizhuo Song, "Optimal Constrained Self-learning Battery Sequential Management in Microgrid Via Adaptive Dynamic Programming," IEEE/CAA J. Autom. Sinica, vol. 4, no. 2, pp. 168-176, Apr. 2017. doi: 10.1109/JAS.2016.7510262

Citation:

Qinglai Wei, Derong Liu, Yu Liu and Ruizhuo Song, "Optimal Constrained Self-learning Battery Sequential Management in Microgrid Via Adaptive Dynamic Programming," IEEE/CAA J. Autom. Sinica, vol. 4, no. 2, pp. 168-176, Apr. 2017. doi: 10.1109/JAS.2016.7510262

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Optimal Constrained Self-learning Battery Sequential Management in Microgrid Via Adaptive Dynamic Programming

doi: 10.1109/JAS.2016.7510262

Qinglai Wei^{1, 2
,
,},
Derong Liu^3
,,
Yu Liu^4
,,
Ruizhuo Song³

1.
Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China
2.
University of Chinese Academy of Sciences, Beijing 100049, China
3.
School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China
4.
Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China

Funds:

This work was supported in part by National Natural Science Foundation of China 61533017

This work was supported in part by National Natural Science Foundation of China 61273140

This work was supported in part by National Natural Science Foundation of China 61304079

This work was supported in part by National Natural Science Foundation of China 61374105

This work was supported in part by National Natural Science Foundation of China 61379099

This work was supported in part by National Natural Science Foundation of China 61233001

Fundamental Research Funds for the Central Universities FRF-TP-15-056A3

also by the Open Research Project from SKLMCCS 20150104

More Information

Author Bio:
Derong Liu (S'91-M'94-SM'96-F'05) received the Ph.D. degree in electrical engineering from the University of Notre Dame in 1994. He was a staff fellow with General Motors Research and Development Center, Warren, MI, from 1993 to 1995. He was an assistant professor in the Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ, from 1995 to 1999. He joined the University of Illinois at Chicago in 1999, and became a full professor of electrical and computer engineering and of computer science in 2006. He was selected for the "100 Talents Program" by the Chinese Academy of Sciences in 2008. He has published 15 books (six research monographs and nine edited volumes). Currently, he is the Editor-in-Chief of the IEEE Transactions on Neural Networks and Learning Systems. He received the Michael J. Birck Fellowship from the University of Notre Dame (1990), the Harvey N. Davis Distinguished Teaching Award from Stevens Institute of Technology (1997), the Faculty Early Career Development (CAREER) award from the National Science Foundation (1999), the University Scholar Award from University of Illinois (2006-2009), and the Overseas Outstanding Young Scholar Award from the National Natural Science Foundation of China (2008). He is a Fellow of the IEEE and a Fellow of the INNS (e-mail: derong@ustb.edu.cn; derong@ustb.edu.cn)

Yu Liu received the B.S. degree in automation, the M.S. degree in pattern recognition and intelligent systems, from Beijing Institute of Technology, Beijing, China, in 2001 and 2004 respectively, and the Ph.D. degree in pattern recognition and intelligent systems, from the Institute of Automation, Chinese Academy of Sciences, Beijing, China, in 2010. His research interests include artificial intelligence, streaming data analysis, and energy management in smart grids (e-mail: yu.liu@ia.ac.cn)

Ruizhuo Song (M'11) received the Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 2012. She is currently an associate professor with the School of Automation and Electrical Engineering, University of Science and Technology Beijing. Her research interests include optimal control, neural-networksbased control, nonlinear control, wireless sensor networks, adaptive dynamic programming and their industrial application
Corresponding author: Qinglai Wei (M'11) received the B.S. degree in automation, and the Ph. D. degree in control theory and control engineering, from the Northeastern University, Shenyang, China, in 2002 and 2009, respectively. From 2009?2011, he was a postdoctoral fellow with The State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing, China. He is currently an associate professor of the institute. He has authored one book, and published over 50 international journal papers. His research interests include adaptive dynamic programming, neural-networks-based control, optimal control, nonlinear systems and their industrial applications. Dr. Wei is an associate editor of IEEE Transaction on Systems Man, and Cybernetics: Systems since 2016, Information Sciences since 2016, Acta Automatica Sinica since 2015, and has been holding the same position for IEEE Transactions on Neural Networks and Learning Systems during 2014-2015. He is the secretary of IEEE Computational Intelligence Society (CIS) Beijing Chapter since 2015. He was registration chair of the 12th World Congress on Intelligent Control and Automation (WCICA2016), 2014 IEEE World Congress on Computational Intelligence (WCCI2014), the 2013 International Conference on Brain Inspired Cognitive Systems (BICS 2013), and the Eighth International Symposium on Neural Networks (ISNN 2011). He was the publication chair of 5th International Conference on Information Science and Technology (ICIST2015) and the Ninth International Symposium on Neural Networks (ISNN 2012). He was the finance chair of the 4th International Conference on Intelligent Control and Information Processing (ICICIP 2013) and the publicity chair of the 2012 International Conference on Brain Inspired Cognitive Systems (BICS 2012). He was guest editors for several international journals. He was a recipient of the Outstanding Paper Award of Acta Automatica Sinica in 2011 and Zhang Siying Outstanding Paper Award of Chinese Control and Decision Conference (CCDC) in 2015. Corresponding author of this paper (e-mail: qinglai.wei@ia.ac.cn)
Received Date: 2015-11-06
Accepted Date: 2016-04-01

Abstract

Abstract

This paper concerns a novel optimal self-learning battery sequential control scheme for smart home energy systems. The main idea is to use the adaptive dynamic programming (ADP) technique to obtain the optimal battery sequential control iteratively. First, the battery energy management system model is established, where the power efficiency of the battery is considered. Next, considering the power constraints of the battery, a new non-quadratic form performance index function is established, which guarantees that the value of the iterative control law cannot exceed the maximum charging/discharging power of the battery to extend the service life of the battery. Then, the convergence properties of the iterative ADP algorithm are analyzed, which guarantees that the iterative value function and the iterative control law both reach the optimums. Finally, simulation and comparison results are given to illustrate the performance of the presented method.
- Adaptive critic designs,
- adaptive dynamic programming (ADP),
- approximate dynamic programming,
- battery management,
- energy management system,
- neuro-dynamic programming,
- optimal control,
- smart home

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References(49)

References

[1]	H. P. Li, C. Z. Zang, P. Zeng, H. B. Yu, and Z. W. Li, "A stochastic programming strategy in microgrid cyber physical energy system for energy optimal operation, " IEEE/CAA J. Automat. Sin. , vol. 2, no. 3, pp. 296-303, Jul. 2015.
[2]	G. Chen and E. N. Feng, "Distributed secondary control and optimal power sharing in microgrids, " IEEE/CAA J. Automat. Sin. , vol. 2, no. 3, pp. 304-312, Jul. 2015.
[3]	W. Wei, F. Liu, and S. W. Mei, "Energy pricing and dispatch for smart grid retailers under demand response and market price uncertainty, " IEEE Trans. Smart Grid, vol.6, no.3, pp.1364-1374, May2015. doi: 10.1109/TSG.2014.2376522
[4]	A. Szumanowski and Y. H. Chang, "Battery management system based on battery nonlinear dynamics modeling, " IEEE Transactions on Vehicular Technology, vol.57, no.3, pp.1425-1432, May2008. doi: 10.1109/TVT.2007.912176
[5]	H. Rahimi-Eichi, U. Ojha, F. Baronti, and M. Y. Chow, "Battery management system: an overview of its application in the smart grid and electric vehicles, " IEEE Ind. Electron. Maga. , vol. 7, no. 2, pp. 4-16, Jun. 2013.
[6]	T. Y. Lee, "Operating schedule of battery energy storage system in a time-of-use rate industrial user with wind turbine generators: a multipass iteration particle swarm optimization approach, " IEEE Trans. Energy Convers. , vol. 22, no. 3, pp. 774-782, Sep. 2007.
[7]	P. J. Werbos, "Advanced forecasting methods for global crisis warning and models of intelligence, " Gen. Syst. Yearbook, vol. 22, pp. 25-38, Jan. 1977.
[8]	P. J. Werbos, W. T. Miller, and R. S. Sutton, Neural Networks for Control. Cambridge: MIT Press, 1991.
[9]	M. Boaro, D. Fuselli, F. De Angelis, D. R. Liu, Q. L. Wei, and F. Piazza, "Adaptive dynamic programming algorithm for renewable energy scheduling and battery management, " Cognit. Comput. , vol. 5, no. 2, pp. 264-277, Jun. 2013.
[10]	D. Fuselli, F. De Angelis, M. Boaro, S. Squartini, Q. L. Wei, D. R. Liu, and F. Piazza, "Action dependent heuristic dynamic programming for home energy resource scheduling, " Int. J. Electr. Power Energy Syst. , vol. 48, pp. 148-160, Jun. 2013.
[11]	D. Molina, G. K. Venayagamoorthy, J. Q. Liang, and R. G. Harley, "Intelligent local area signals based damping of power system oscillations using virtual generators and approximate dynamic programming, " IEEE Trans. Smart Grid, vol. 4, no. 1, pp. 498-508, Mar. 2013.
[12]	J. Q. Liang, D. D. Molina, G. K. Venayagamoorthy, and R. G. Harley, "Two-level dynamic stochastic optimal power flow control for power systems with intermittent renewable generation, " IEEE Trans. Power Syst. , vol. 28, no. 3, pp. 2670-2678, Aug. 2013.
[13]	S. Mohagheghi, G. K. Venayagamoorthy, and R. G. Harley, "Fully evolvable optimal neurofuzzy controller using adaptive critic designs, " IEEE Trans. Fuzzy Syst. , vol. 16, no. 6, pp. 1450-1461, Dec. 2008.
[14]	Y. F. Tang, H. B. He, J. Y. Wen, and J. Liu, "Power system stability control for a wind farm based on adaptive dynamic programming, " IEEE Trans. Smart Grid, vol. 6, no. 1, pp. 166-177, Jan. 2015.
[15]	Z. Zhang and D. B. Zhao, "Clique-based cooperative multiagent reinforcement learning using factor graphs, " IEEE/CAA J. Automat. Sin. , vol. 1, no. 3, pp. 248-256, Jul. 2014.
[16]	D. V. Prokhorov and D. C. Wunsch, "Adaptive critic designs, " IEEE Trans. Neur. Net. , vol. 8, no. 5, pp. 997-1007, Sep. 1997.
[17]	D. P. Bertsekas and J. N. Tsitsiklis, " Neuro-Dynamic Programming. Belmont, MA: Athena Scientific, 1996.
[18]	B. Lincoln and A. Rantzer, "Relaxing dynamic programming, " IEEE Trans. Automat. Control, vol. 51, no. 8, pp. 1249-1260, Aug. 2006.
[19]	Q. L. Wei, F. Y. Wang, D. R. Liu, and X. Yang, "Finite-approximation-error-based discrete-time iterative adaptive dynamic programming, " IEEE Trans. Cybernet. , vol. 44, no. 12, pp. 2820-2833, Dec. 2014.
[20]	A. Rantzer, "Relaxed dynamic programming in switching systems, " IET Proc. -Contr. Theor. Appl. , vol. 153, no. 5, pp. 567-574, Oct. 2006.
[21]	H. Modares and F. L. Lewis, "Linear quadratic tracking control of partially-unknown continuous-time systems using reinforcement learning, " IEEE Trans. Automat. Control, vol. 59, no. 11, pp. 3051-3056, Nov. 2014.
[22]	H. Modares and F. L. Lewis, "Optimal tracking control of nonlinear partially-unknown constrained-input systems using integral reinforcement learning, " Automatica, vol. 50, no. 7, pp. 1780-1792, Jul. 2014.
[23]	H. G. Zhang, T. Feng, G. H. Yang, and H. J. Liang, "Distributed cooperative optimal control for multiagent systems on directed graphs: an inverse optimal approach, " IEEE Trans. Cybernet. , vol. 45, no. 7, pp. 1315-1326, Jul. 2015.
[24]	M. Kumar, K. Rajagopal, S. N. Balakrishnan, et al, "Reinforcement learning based controller synthesis for flexible aircraft wings, " IEEE/CAA J. Automat. Sin. , vol. 1, no. 4, pp. 435-448, Oct. 2014.
[25]	R. Kamalapurkar, J. R. Klotz, and W. E. Dixon, "Concurrent learning-based approximate feedback-Nash equilibrium solution of N-player nonzero-sum differential games, " IEEE/CAA J. Automat. Sin. , vol. 1, no. 3, pp. 239-247, Jul. 2014.
[26]	Q. M. Zhao, H. Xu, and S. Jagannathan, "Near optimal output feedback control of nonlinear discrete-time systems based on reinforcement neural network learning, " IEEE/CAA J. Automat. Sin. , vol. 1, no. 4, pp. 372-384, Oct. 2014.
[27]	Q. L. Wei, R. Z. Song, and P. F. Yan, "Data-driven zero-sum neuro-optimal control for a class of continuous-time unknown nonlinear systems with disturbance using ADP, " IEEE Trans. Neur. Net. Lear. Syst. , vol. 27, no. 2, pp. 444-458, Feb. 2016.
[28]	Q. L. Wei and D. R. Liu, "Adaptive dynamic programming for optimal tracking control of unknown nonlinear systems with application to coal gasification, " IEEE Trans. Automat. Sci. Eng. , vol. 11, no. 4, pp. 1020-1036, Oct. 2014.
[29]	Q. L. Wei and D. R. Liu, "A novel iterative the ta-adaptive dynamic programming for discrete-time nonlinear systems, " IEEE Trans. Automat. Sci. Eng. , vol. 11, no. 4, pp. 1176-1190, Oct. 2014.
[30]	Q. L. Wei and D. R. Liu, "Data-driven neuro-optimal temperature control of water-gas shift reaction using stable iterative adaptive dynamic programming, " IEEE Trans. Ind. Electron. , vol. 61, no. 11, pp. 6399-6408, Nov. 2014.
[31]	Q. L. Wei, D. R. Liu, and H. Q. Lin, "Value iteration adaptive dynamic programming for optimal control of discrete-time nonlinear systems, " IEEE Trans. Cybernet. , vol. 46, no. 3, pp. 840-853, Mar. 2016.
[32]	Q. L. Wei, D. R. Liu, and X. Yang, "Infinite horizon self-learning optimal control of nonaffine discrete-time nonlinear systems, " IEEE Trans. Neur. Net. Lear. Syst. , vol. 26, no. 4, pp. 866-879, Apr. 2015.
[33]	Q. L. Wei, D. R. Liu, and F. L. Lewis, "Optimal distributed synchronization control for continuous-time heterogeneous multi-agent differential graphical games, " Inform. Sci. , vol. 317, pp. 96-113, Oct. 2015.
[34]	Q. L. Wei and D. R. Liu, "A novel policy iteration based deterministic Q-learning for discrete-time nonlinear systems, " Sci. China Inform. Sci. , vol. 58, no. 12, pp. 1-15, Dec. 2015.
[35]	F. L. Lewis, D. Vrabie, K. G. Vamvoudakis, "Reinforcement learning and feedback control: using natural decision methods to design optimal adaptive controllers, " IEEE Control Syst. , vol. 32, no. 6, pp. 76-105, Dec. 2012.
[36]	J. J. Murray, C. J. Cox, G. G. Lendaris, and R. Saeks, "Adaptive dynamic programming, " IEEE Trans. Syst. Man Cybern. C Appl. Rev., vol.32, no.2, pp.140-153, May2002. doi: 10.1109/TSMCC.2002.801727
[37]	M. Abu-Khalaf and F. L. Lewis, "Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach, " Automatica, vol.41, no.5, pp.779-791, May2005. doi: 10.1016/j.automatica.2004.11.034
[38]	R. Z. Song, W. D. Xiao, H. G. Zhang, and C. Y. Sun, "Adaptive dynamic programming for a class of complex-valued nonlinear systems, " IEEE Trans. Neur. Net. Lear. Syst. , vol. 25, no. 9, pp. 1733-1739, Sep. 2014.
[39]	R. Z. Song, F. Lewis, Q. L. Wei, H. G. Zhang, Z. P. Jiang, and D. Levine, "Multiple actor-critic structures for continuous-time optimal control using input-output data, " IEEE Trans. Neur. Net. Lear. Syst. , vol. 26, no. 4, pp. 851-865, Apr. 2015.
[40]	R. Z. Song, F. L. Lewis, Q. L. Wei, and H. G. Zhang, "Off-policy actor-critic structure for optimal control of unknown systems with disturbances, " IEEE Trans. Cybernet., vol.46, no.5, pp.1041-1050, May2016. doi: 10.1109/TCYB.2015.2421338
[41]	D. R. Liu and Q. L. Wei, "Policy iteration adaptive dynamic programming algorithm for discrete-time nonlinear systems, " IEEE Trans. Neur. Net. Lear. Syst. , vol. 25, no. 3, pp. 621-634, Mar. 2014.
[42]	A. Al-Tamimi, F. L. Lewis, and M. Abu-Khalaf, "Discrete-time nonlinear HJB solution using approximate dynamic programming: convergence proof, " IEEE Trans. Syst. Man Cybern. B Cybern. , vol. 38, no. 4, pp. 943-949, Aug. 2008.
[43]	H. G. Zhang, Q. L. Wei, and Y. H. Luo, "A novel infinite-time optimal tracking control scheme for a class of discrete-time nonlinear systems via the greedy HDP iteration algorithm, " IEEE Trans. Syst. Man Cybern. B Cybern. , vol. 38, no. 4, pp. 937-942, Aug. 2008.
[44]	T. Huang and D. R. Liu, "A self-learning scheme for residential energy system control and management, " Neur. Comput. Appl. , vol. 22, no. 2, pp. 259-269, Feb. 2013.
[45]	Q. L. Wei, D. R. Liu, and G. Shi, "A novel dual iterative Q-learning method for optimal battery management in smart residential environments, " IEEE Trans. Ind. Electron. , vol. 62, no. 4, pp. 2509-2518, Apr. 2015.
[46]	T. Yau, L. N. Walker, H. L. Graham, A. Gupta, and R. Raithel, "Effects of battery storage devices on power system dispatch, " IEEE Trans. Power Apparatus Syst. , vol. PAS-100, no. 1, pp. 375-383, Jan. 1981.
[47]	R. E. Bellman, Dynamic Programming. Princeton, NJ: Princeton University Press, 1957.
[48]	Q. L. Wei, D. R. Liu, G. Shi, and Y. Liu, "Multibattery optimal coordination control for home energy management systems via distributed iterative adaptive dynamic programming, " IEEE Trans. Ind. Electron. , vol. 62, no. 7, pp. 4203-4214, Jul. 2015.
[49]	J. Si and Y. T. Wang, "Online learning control by association and reinforcement, " IEEE Trans. Neur. Net. , vol. 12, no. 2, pp. 264-276, Mar. 2001.

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Optimal Constrained Self-learning Battery Sequential Management in Microgrid Via Adaptive Dynamic Programming

doi: 10.1109/JAS.2016.7510262

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